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Simplifying 1 + n + -5 = -2 + -8n + 7n Reorder the terms: 1 + -5 + n = -2 + -8n + 7n Combine like terms: 1 + -5 = -4 -4 + n = -2 + -8n + 7n Combine like terms: -8n + 7n = -1n -4 + n = -2 + -1n Solving -4 + n = -2 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -4 + n + n = -2 + -1n + n Combine like terms: n + n = 2n -4 + 2n = -2 + -1n + n Combine like terms: -1n + n = 0 -4 + 2n = -2 + 0 -4 + 2n = -2 Add '4' to each side of the equation. -4 + 4 + 2n = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = -2 + 4 2n = -2 + 4 Combine like terms: -2 + 4 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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